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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1996; 33(3): 693-707

Printed September 1, 1996

Copyright © The Korean Mathematical Society.

An existence of the inertial manifold for new domains

Hyukjin Kwean

Korea University

Abstract

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In this paper, we extend a Theorem of Mallet-Paret and Sell for the existence of an inertial manifold for a scalar-valued reaction diffusion equation to new domains $\Omega_n \subset R^n, n=2,3.$

Keywords: dissipative system, inertial manifold, reaction diffusion, Principle of Spatial Averaging

MSC numbers: 35P20, 34C29, 35K57

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